4 papers
The volume conjecture for polyhedra implies the Stoker conjecture
Giulio Belletti
We show that the Volume Conjecture for polyhedra implies a weak version of the Stoker Conjecture; in turn we prove that this weak version of the Stoker conjecture implies the Stoke…
Discrete Fourier transforms, quantum -symbols and deeply truncated tetrahedra
Giulio Belletti, Tian Yang
The asymptotic behavior of quantum -symbols is closely related to the volume of truncated hyperideal tetrahedra\,\cite{C}, and plays a central role in understanding the asympto…
The maximum volume of hyperbolic polyhedra
Giulio Belletti
We study the supremum of the volume of hyperbolic polyhedra with some fixed combinatorics and with vertices of any kind (real, ideal or hyperideal). We find that the supremum is al…
Growth of quantum 6j-symbols and applications to the Volume Conjecture
Giulio Belletti, Renaud Detcherry, Efstratia Kalfagianni +1
We prove the Turaev-Viro invariants volume conjecture for a "universal" class of cusped hyperbolic 3-manifolds that produces all 3-manifolds with empty or toroidal boundary by Dehn…